Pair of Linear Equations in Two Variables Class 10 Multiple Choice Test

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Thank you for answering the multiple choice test

Pair of Linear Equations in Two Variables Class 10 (100301)

Challenge Yourself …

1 / 10

The pair of linear equations 2x + 5y = –11 and 5x + 15y = –44 has:

(a) many solutions

(b) no solution

(c) one solution

(d) 2 solutions

2 / 10

The pair of equations 5x – 15y = 8 and $$3x-9y=\frac{24}{5}$$ has:

(a) one solution

(b) two solutions

(c) infinitely many solutions

(d) no solution

3 / 10

The pair of linear equations x – 2y = 0 and 3x + 4y = 20 have:

(a) one solution

(b) two solutions

(c) many solutions

(d) no solution

4 / 10

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages in years of the son and the father

respectively are:

(a) 4 and 24

(b) 6 and 36

(c) 5 and 30

(d) 7 and 42

5 / 10

In the equations $$a_1x+b_1y+c_1=0$$ and $$a_2x+b_2y+c_2=0$$, if $${\frac{a_1}{a_2}}\ne{\frac{b_1}{b_2}}$$, then the equations will represent:

(a) coincident lines

(b) parallel lines

(c) intersecting lines

(d) none

6 / 10

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16, represent coincident lines?

(a) $$1\over 2$$

(b) $$-1\over 2$$

(c) 2

(d) − 2

7 / 10

The sum of the digits of a two-digit number is 9. If 27 is added to it, digits of the number get reversed. The number is:

(a) 63

(b) 72

(c) 81

(d) 36

8 / 10

The value of k for which the system:

4x + 2y = 3, (k – 1)x – 6y = 9

has no unique solution is:

(a) –13

(b) 9

(c) –11

(d) 13

9 / 10

Graphically, the pair of equations 6x – 3y + 10 = 0 and 2x – y + 9 = 0  represents two lines which are:

(a) intersecting at exactly one point

(b) intersecting at exactly two points

(c) coincident

(d) parallel

10 / 10

A pair of linear equations which has a unique solution x = 2, y = –3 is:

(a) x + y = –1, 2x – 3y = –5

(b) 2x + 5y = –11, 4x + 10y = –22

(c) 2x – y = 1, 3x + 2y = 0

(d) x – 4y – 14 = 0, 5x – y – 13 = 0